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Finding the Third Proportional to 26,336.50 and 57,407

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Solution

The third proportional to 26,336.50 and 57,407 is: 125,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,336.50 : 57,407 = 57,407 : x
  2. Step 2: Convert to fraction form
    26,336.50/57,407 = 57,407/x
  3. Step 3: Cross multiply
    26,336.50x = 57,407 × 57,407
  4. Step 4: Simplify right side
    26,336.50x = 3,295,563,649
  5. Step 5: Solve for x
    x = 3,295,563,649/26,336.50
  6. Step 6: Final answer
    x = 125,132.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.